10664242512 has 160 divisors (see below), whose sum is σ = 34403512320. Its totient is φ = 2765391360.

The previous prime is 10664242441. The next prime is 10664242541. The reversal of 10664242512 is 21524246601.

It is a super-2 number, since 2×10664242512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655418 + ... + 2659430.

It is an arithmetic number, because the mean of its divisors is an integer number (215021952).

Almost surely, 2^10664242512 is an apocalyptic number.

10664242512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10664242512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17201756160).

10664242512 is an abundant number, since it is smaller than the sum of its proper divisors (23739269808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10664242512 is a wasteful number, since it uses less digits than its factorization.

10664242512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 10664242512 in words is "ten billion, six hundred sixty-four million, two hundred forty-two thousand, five hundred twelve".